Results 11 to 20 of about 1,802,459 (260)
In prime labeling, vertices are labeled from 1 to n, with the condition that any two adjacent vertices have relatively prime labels. Coprime labeling maintains the same criterion as prime labeling with adjacent vertices using any set of distinct positive
Janani R, Ramachandran T
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Prime Slaughter: Playful Prime Numbers [PDF]
Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transposition of primality and factorization into playful interactions,
Valente, Andrea, Marchetti, Emanuela
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About finding of prime numbers that follow after given prime number without using computer
It is shown how to define one or several prime numbers following after given prime number without using computer only by calculating several arithmetic progressions. Five examples of finding such prime numbers are given.
V.S. Malakhovsky
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Jacob’s Ladder: Prime Numbers in 2D
Prime numbers are one of the most intriguing figures in mathematics. Despite centuries of research, many questions remain still unsolved. In recent years, computer simulations are playing a fundamental role in the study of an immense variety of problems.
Alberto Fraile +2 more
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On some characteristics of subset of prime numbers
The set of prime numbers p ≥ 5 is divided into two nonoverlapping subset P1 = {6k1 - 1}, P2 = {6k2 + 1}, where ki ⋲ A (i = 1,2). Subsets A1, A2 of natural numbers is defined by differences Ai = N\Bi, where B1, B2 are subset {j1}, {j2} defining subsets ...
V. Malakhovsky
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The concept of prime number and the strategies used in explaining prime numbers
The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher’s knowledge effects the students ...
Nejla Gürefe, Gülfem Sarpkaya Aktaş
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Wave Transport and Localization in Prime Number Landscapes
In this paper, we study the wave transport and localization properties of novel aperiodic structures that manifest the intrinsic complexity of prime number distributions in imaginary quadratic fields.
Luca Dal Negro +4 more
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On General Prime Number Theorems with Remainder [PDF]
We show that for Beurling generalized numbers the prime number theorem in remainder form $$\pi(x) = \operatorname*{Li}(x) + O\left(\frac{x}{\log^{n}x}\right) \quad \mbox{for all } n\in\mathbb{N}$$ is equivalent to (for some $a>0$) $$N(x) = ax + O\left ...
Debruyne, Gregory, Vindas, Jasson
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A Congruent Property of Gibonacci Number Modulo Prime
Let a, b ∈ Z and p be a prime number such that a and b are not divisible by p. In this work, we give a congruent property modulo a prime number p of the gibonacci number defined by Gn = Gn−1 + Gn−2 with initial condition G1 = a, G2 = b.
Wipawee Tangjai +3 more
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A Relation between Prime Numbers and Twin Prime Numbers [PDF]
Every mathematician has been concerned with prime numbers, and has metwith mysterious surprises about them. Besides intuition, using empirical methods has an important role to findrelations between prime numbers. A relation between any prime numberand any twin prime number has been obtained.
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